286668400 has 30 divisors (see below), whose sum is σ = 688721792. Its totient is φ = 114667200.

The previous prime is 286668391. The next prime is 286668413. The reversal of 286668400 is 4866682.

286668400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 357936 + ... + 358735.

Almost surely, 2^286668400 is an apocalyptic number.

286668400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286668400 is an abundant number, since it is smaller than the sum of its proper divisors (402053392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

286668400 is a wasteful number, since it uses less digits than its factorization.

286668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716689 (or 716678 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 286668400 is about 16931.2846529730. The cubic root of 286668400 is about 659.3660886167.

The spelling of 286668400 in words is "two hundred eighty-six million, six hundred sixty-eight thousand, four hundred".